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Two Circles Touching Internally and Externally

If two circle...

Question

If two circles with centers $C_{1} a n d C_{1} a n d r a d i i r_{1} a n d r_{2}$ intersect in two distinct points, then

A

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B

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C

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D

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Solution

The correct options are
A

B

If d is distance between the centers of two circles os radii $r_{1} a n d r_{2}$ ,then they intersect in two distinct

points

Distance the centers is greater than diffrence between radius of two circles and

it is less than sum of the radius of the circle.

$| r_{1} - r_{2} | < d < r_{1} + r_{2}$

So, $c_{1} c_{2} < r_{1} + r_{2}$

$| r_{1} - r_{2} | < d < c_{1} c_{2}$

Both option A and B are correct.

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